46334605824 has 320 divisors, whose sum is σ = 152486906880. Its totient is φ = 13795246080.

The previous prime is 46334605739. The next prime is 46334605859. The reversal of 46334605824 is 42850643364.

46334605824 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 4 + 60 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46334605824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5566914 + ... + 5575230.

It is an arithmetic number, because the mean of its divisors is an integer number (476521584).

Almost surely, 2^46334605824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46334605824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76243453440).

46334605824 is an abundant number, since it is smaller than the sum of its proper divisors (106152301056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46334605824 is a wasteful number, since it uses less digits than its factorization.

46334605824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 46334605824 in words is "forty-six billion, three hundred thirty-four million, six hundred five thousand, eight hundred twenty-four".